000 02711nam a22004335i 4500
001 978-1-84882-242-9
003 DE-He213
005 20140220084513.0
007 cr nn 008mamaa
008 110121s2010 xxk| s |||| 0|eng d
020 _a9781848822429
_9978-1-84882-242-9
024 7 _a10.1007/978-1-84882-242-9
_2doi
050 4 _aQA150-272
072 7 _aPBF
_2bicssc
072 7 _aMAT002000
_2bisacsh
082 0 4 _a512
_223
100 1 _aKnebusch, Manfred.
_eauthor.
245 1 0 _aSpecialization of Quadratic and Symmetric Bilinear Forms
_h[electronic resource] /
_cby Manfred Knebusch.
264 1 _aLondon :
_bSpringer London :
_bImprint: Springer,
_c2010.
300 _aXIV, 192 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aAlgebra and Applications,
_x1572-5553 ;
_v11
505 0 _aFundamentals of Specialization Theory -- Generic Splitting Theory -- Some Applications -- Specialization with Respect to Quadratic Places.
520 _aThe specialization theory of quadratic and symmetric bilinear forms over fields and the subsequent generic splitting theory of quadratic forms were invented by the author in the mid-1970's. They came to fruition in the ensuing decades and have become an integral part of the geometric methods in quadratic form theory. This book comprehensively covers the specialization and generic splitting theories. These theories, originally developed mainly for fields of characteristic different from 2, are explored here without this restriction. In this book, a quadratic form φ over a field of characteristic 2 is allowed to have a big quasilinear part QL(φ) (defined as the restriction of φ to the radical of the bilinear form associated to φ), while in most of the literature QL(φ) is assumed to have dimension at most 1. Of course, in nature, quadratic forms with a big quasilinear part abound. In addition to chapters on specialization theory, generic splitting theory and their applications, the book's final chapter contains research never before published on specialization with respect to quadratic places and will provide the reader with a glimpse towards the future.
650 0 _aMathematics.
650 0 _aAlgebra.
650 1 4 _aMathematics.
650 2 4 _aAlgebra.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781848822412
830 0 _aAlgebra and Applications,
_x1572-5553 ;
_v11
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-84882-242-9
912 _aZDB-2-SMA
999 _c110859
_d110859